International Journal of Nonlinear Analysis and Applications
Computational method based on triangular operational matrices for solving nonlinear stochastic differential equations
Document Type : Research Paper
Authors
1 Department of Engineering,~Abhar Branch,~Islamic Azad University, Abhar, Iran
2 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Abstract
In this article, a new numerical method based on triangular functions for solving nonlinear stochastic differential equations is presented. For this, the stochastic operational matrix of triangular functions for It\^{o} integral are determined. Computation of presented method is very simple and attractive. In addition, convergence analysis and numerical examples that illustrate accuracy and efficiency of the method are presented.
Keywords
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